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Mathematical theory of statistics, concerned with formal definitions and general results.

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Complete and Sufficient Statistics from Two Samples

Let $X_1,...,X_n$ be a random sample of size $n$ from $N(\epsilon,\sigma^2)$ and let $Y_1,...,Y_m$ be a random sample of size $m$ from $N(\eta,2\sigma^2)$. Find a vector of complete and suffic …
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